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Product Description
The present monograph is the successor of "Direct methods in the calculus of variations" which was published in the "Applied Mathematical Sciences" series and is currently out of print. Although the core and the structure of the present book is similar to the old one, it is much more than a revised version. Fifteen years have passed since the publication of the "Direct methods in the calculus of variations" book and since the subject is a very active one, almost half of the book presently consists of new material. The perspective has also slightly changed, which is reflected in the change of the title. Indeed a new subject, "quasiconvex analysis" has now been developed. The present monograph, which is essentially a reference book on the subject of quasiconvex analysis, can be used, as was the earlier book for an advanced course on the calculus of variations.
The present monograph is the successor of "Direct methods in the calculus of variations" which was published in the "Applied Mathematical Sciences" series and is currently out of print. Although the core and the structure of the present book is similar to the old one, it is much more than a revised version. Fifteen years have passed since the publication of the "Direct methods in the calculus of variations" book and since the subject is a very active one, almost half of the book presently consists of new material. The perspective has also slightly changed, which is reflected in the change of the title. Indeed a new subject, "quasiconvex analysis" has now been developed. The present monograph, which is essentially a reference book on the subject of quasiconvex analysis, can be used, as was the earlier book for an advanced course on the calculus of variations.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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weak continuity, rank one convex sets, rank one convex functions, one convex sense, separately convex sense, signed singular values, relaxation property with respect, underdetermined partial differential equations, one convex envelopes, rank one affine, polyconvex sense, rank one convex hulls, polyconvex set, rank one convexity, polyconvex functions, quasiaffine function, vectorial case, rank one direction, relaxation theorems, polyconvex envelope, quasiconvex analysis, proof into two steps, quasiconvex envelope, rank one convex envelope, quasiconvex case Key Phrases - Capitalized Phrases (CAPs): (learn more)
Extension of Lipschitz, Using Theorem, Applying Theorem, Using Hölder, Using Proposition, Saint Venant-Kirchhoff, Von Wahl, Applying Step Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
weak continuity, rank one convex sets, rank one convex functions, one convex sense, separately convex sense, signed singular values, relaxation property with respect, underdetermined partial differential equations, one convex envelopes, rank one affine, polyconvex sense, rank one convex hulls, polyconvex set, rank one convexity, polyconvex functions, quasiaffine function, vectorial case, rank one direction, relaxation theorems, polyconvex envelope, quasiconvex analysis, proof into two steps, quasiconvex envelope, rank one convex envelope, quasiconvex case Key Phrases - Capitalized Phrases (CAPs): (learn more)
Extension of Lipschitz, Using Theorem, Applying Theorem, Using Hölder, Using Proposition, Saint Venant-Kirchhoff, Von Wahl, Applying Step Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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90% buy the item featured on this page: Direct Methods in the Calculus of Variations (Applied Mathematical Sciences)$64.09 |
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